Question

Expand the following by using distributive property : 1. (a+b)2 2. (a-b)2 3. (a-b)(a+b) 4. (x+a)(x+b)

Answer 1

1.

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab$

2.

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$

3.

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

4.

$(x + a)(x + b) = {x}^{2} + x(a + b) + ab$

Answer 2

$\huge{\underline{\mathbb{\red{Answer}}}}$

$1.(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab$

$2.(a - b) {}^{2} = {a}^{2} + {b}^{2} - 2ab$

$3.(a - b)(a + b) = {a}^{2} - {b}^{2}$

$4.(x + a)(x + b) = {x}^{2} + x(a + b) + ab$

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